分形理论在混凝土结构研究中的应用进展

Applications of fractal theory in concrete structure research

针对混凝土材料的初始缺陷和裂纹的演化规律,运用分形理论,对混凝土结构的力学性能等进行归纳总结,简述了分形维数和几种经典分形集。分析发现,分形维数与分级荷载、挠度、最大裂缝宽度、损伤变量、断裂能等成正相关关系。提出分形理论在分析混凝土结构中目前存在的问题及应用前景。

According to the initial defects of concrete materials and the evolution law of cracks,the mechanical properties of concrete structures were summarized by using the fractal theory.The fractal dimension and several classical fractal sets were briefly described.It was found that the fractal dimension was positively related to the grading load,deflection,maximum crack width,damage variable and fracture energy.The existing problems and application prospects of fractal theory in the analysis of concrete structures were put forward.